[HTML][HTML] On some exact solutions of heavenly equations in four dimensions
ŁT Stȩpień - AIP Advances, 2020 - pubs.aip.org
Some new classes of exact solutions (so-called functionally invariant solutions) of the elliptic
and hyperbolic complex Monge–Ampère equations and of the second heavenly equation …
and hyperbolic complex Monge–Ampère equations and of the second heavenly equation …
Solutions of the sDiff (2) Toda equation with SU (2) Symmetry
D Finley, JK McIver - Classical and Quantum Gravity, 2010 - iopscience.iop.org
We present the general solution to the Plebański equation for an space that admits Killing
vectors for an entire SU (2) of symmetries, which is therefore also the general solution of the …
vectors for an entire SU (2) of symmetries, which is therefore also the general solution of the …
Symmetry Reductions of Second Heavenly Equation and 2+ 1-Dimensional Hamiltonian Integrable Systems
D Yazici, MB Sheftel - Journal of Nonlinear Mathematical Physics, 2008 - Taylor & Francis
Second heavenly equation of Plebañski, presented in a two-component form, is known to be
a 3+ 1-dimensional multi-Hamiltonian integrable system. We show that one symmetry …
a 3+ 1-dimensional multi-Hamiltonian integrable system. We show that one symmetry …
Symmetry reduction of the first heavenly equation and -dimensional bi-Hamiltonian system
D Yazici - Turkish Journal of Physics, 2018 - journals.tubitak.gov.tr
The first heavenly equation of Plebanski in the two-component form is known to be a $3+ 1$-
dimensional tri-Hamiltonian system. We show that a particular choice of symmetry reduction …
dimensional tri-Hamiltonian system. We show that a particular choice of symmetry reduction …
Reduction of non-variational bi-Hamiltonian system of shallow-water waves propagation via symmetry approach
A Jhangeer - Journal of Mathematical Sciences and Modelling, 2018 - dergipark.org.tr
In this paper, non-variational bi-Hamiltonian system of shallow-water waves propagation is
considered. Lie point generators are calculated and one dimensional optimal system of its …
considered. Lie point generators are calculated and one dimensional optimal system of its …
Hamiltonian structure of the complex Monge-Amp\ere equation
Y Nutku, MB Sheftel - arXiv preprint arXiv:0801.2663, 2008 - arxiv.org
arXiv:0801.2663v2 [physics.class-ph] 24 Feb 2008 Page 1 arXiv:0801.2663v2 [physics.class-ph]
24 Feb 2008 Hamiltonian structure of the complex Monge-Amp`ere equation Y Nutku1 and MB …
24 Feb 2008 Hamiltonian structure of the complex Monge-Amp`ere equation Y Nutku1 and MB …
[PDF][PDF] Multi-Hamiltonian structure of self-dual gravity
MB Sheftel, D Yazıcı - arXiv preprint arXiv:0802.2203, 2008 - Citeseer
We discover multi-Hamiltonian structure of the complex Monge-Ampere equation (CMA) set
in a real first-order two-component form. Therefore, by Magri's theorem this is a completely …
in a real first-order two-component form. Therefore, by Magri's theorem this is a completely …